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A Pearson product-moment correlation coefficient of -1 indicates a perfect negative linear relationship between two variables. This means that as one variable increases, the other variable decreases in a perfectly linear manner. In practical terms, every increase in one variable corresponds to a proportional decrease in the other, with no exceptions. This extreme value signifies a strong inverse correlation, suggesting that the two variables are closely related but move in opposite directions.

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2w ago

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When there is no linear correlation the correlation coefficient equals?

0


For the data below compute the Pearson correlation X Y 1 2 2 3 4 2 5 6 8 7 x equals 20 y equals 20 equals 40?

No, the Pearson coefficient does not equal 40.


What pattern would appear in a graph of a Pearson correlation of r equals 0.80?

Points tightly clustered around a line that slopes up to the right


Construction of two random variables such that their correlation coefficient equals -1?

y = cos ( x ). z = cos ( x + 180 degrees ).


What happens if the correlation coefficient equals 0?

Nothing happens. It simply means that there is no linear relationship between the two variables. It is possible that there is a non-linear relationship or that there is none.


What is the coefficient in the number sentence 8x equals 16?

8 is the coefficient. A coefficient is the number in front of a variable.


What is the coefficient in Y equals 2X?

It is 2


What is the coefficient in 4 plus x equals y?

The only coefficient here is just 1


What is the coefficients of -3x2 equals -9?

The coefficient is -3.


What will be the correlation for the graph of this equation y equals 14x?

Since y=14x is a perfect linear relation, the correlation would be 1.


If coefficient of skewness equals 0 then what would you say about the skewness of the distribution?

if coefficient of skewness is zero then distribution is symmetric or zero skewed.


What is the coefficient of 4 x 450?

The coefficient of the expression ( 4 \times 450 ) is 4. In this context, the coefficient refers to the numerical factor that multiplies the variable or term—in this case, the number 4 is the coefficient of the product. The overall product equals 1800, but the coefficient remains 4.